All the manager's reaction to a thrilling day's football in the Premier League.

Sam Allardyce: "[on why Rooney's wondergoal from 58 yards should have been disallowed] It's such a wonderful goal you've got to admire the finish. But to get off to a start like that having won the last three at home didn't help. It was wonderful, you have to admire the talent. He didn't even look up. If you look again though it's probably a foul by Rooney. Rooney pushes James Tomkins and it's difficult for the referee to see it. He stops Tomkins heading the ball. The assistant referee should have seen it but there you go. We didn't get a couple today… I think we attacked well and got into some good territorial positions."

David Moyes: "[on Rooney's strike] It was a brilliant goal, superb technique and in Wayne we have a player who is capable of doing all those sorts of things on a football pitch. It was like Beckham's goal for sure. Wayne tries it, that's the thing. They are saying in the dressing room he's tried that 20 times and it's never worked, but it did today. Such great awareness. I think how clean Beckham hit it but I think for Wayne to take it on the volley along with his timing, it's a great goal…

"I thought we played very well. Shinji Kagawa had a great chance, Juan Mata had a great chance and Marouane Fellaini had one as well. Early in the season people said I was changing the team too much but I thought people came in and played really, really well today and I think the midweek performance helped and the way we passed it backed that up.

"I think a lot of them showed what they are capable of tonight. Mata was great today as was Kagawa and we had some really top performances, we want to keep it going. All we want is some momentum because we've not had much and all we can do is try and take some confidence from this."

Ole Gunnar Solskjaer: "[on having two players waiting on the sidelines following treatment when Liverpool scored the third goal from a corner] You should look at that rule. How can you defend a corner kick with nine men? Two of your men have not faked anything or dived, they just want to get on the pitch, two of them at the same time. I said to the fourth official 'they are going to score here, don't worry about that'… Two of my biggest men were out of that corner-kick. It was the vital goal. We had been 1-0 up, 2-1 up, playing against a good team… We tested them defensively and we scored some fantastic goals, and maybe we conceded two poor goals. Liverpool didn't have a lot in the first-half, chances wise."

Brendan Rodgers: "[on hat-trick hero Luis Suarez] He is a remarkable player. His determination, his desire, his will is at such a big level. He is a world-class player who is enjoying his football, and long may it continue… [on coming back from behind twice] The mental resilience is how we've grown over the past 18 months, and that confidence to know we can get back in the game. You look at our imagination and creativity today. I think the crowd felt that every time we were in their half, we could score, so that's a wonderful recognition for the type of team that we are. We've got footballers, technicians, who can open up a game for us."

Roberto Martinez: "I am very pleased. We faced a really difficult test in Swansea and to get the all-important three points is a fantastic feeling. We started really well the first 25 minutes then Swansea deserved the equaliser. We deserved the two-goal lead but at that point we sat back a little bit too much, trying to use the counter-attack - but overall I was very pleased with the maturity we had… The points tally is what excites me. Nine games to go and 54 points - that is a very good return. This year's competition is as strong as it has been and to get to Europe you will need the highest points tally for a few years, so we need to be perfect and look at ourselves… The Europa League is not our aim, our aim is to get as many points as we can. Champions League football will be around 71 points - that is our target."

Garry Monk: "If I thought I wasn't doing the right things I am honest enough to know. I will hold my hands up. I am not one of those managers who are going to sugar-coat things or lie to anyone. We have been very unlucky not to come up with a lot more points. When you come to places like this - and pretty much any game - there is always a period when the opposition have pressure and you have to manage it properly, get through it unscathed and make the right choices. We didn't do it and it cost us dearly. If we hadn't given them such a lead we could have been able to come away with something.

Steve Bruce: "We didn't play well today by any stretch of the imagination but if you have got that bit of quality at the top end of the pitch they can create something and they will always be a handful with the attitude they've got."

Pepe Mel: "I always believe we are capable of winning a game but today it was not possible. But Fulham lost, Palace lost, Cardiff lost and Sunderland lost. There are now four teams beneath us and the next game is a big one for us."

Manuel Pellegrini: "It was a complete performance because we kept a clean sheet again. For me that is important. In the last part of the season I think we must be a very balanced team - not only scoring five goals but it is important not to concede goals. We scored five goals and we had a lot more chances. It is true that with only 10 players it was more difficult for Fulham, but before the player was sent off we scored two goals and had two or three more clear chances… Always, winning is good preparation for the next match. Winning today the way we did, scoring five goals and not conceding, it is always important but the derby is a special match, so we must try to forget about what we did today and start thinking about what we must do against Manchester United."

Felix Magath: "Nobody expected a win here at Man City, so if we lost it is normal. Nobody will care about it. But I am not happy with our performance after the second goal. Sure, it was a bad moment for us and we lost a player but that is no reason to stop playing… That we lost today is not a problem. We have to win our home games and that is important for us. We can look forward to next week but we have to talk about this situation, that we don't fight to the end of the game. It is not correct, especially for our fans. They came to Manchester, like us, to win and make a good game. We have to fight for 90 minutes and not only 60."

Newcastle assistant John Carver: "Last week, we didn't create a great deal, but the two chances fell to Papiss. I said after the game last week how hard he does work on the training ground to put that right, and he certainly did that today. He's not going missing, he's not hiding and sometimes you can when you are lacking in confidence… There are only eight games left, so if he goes on a run from now until the end of the season, he'll have had a good season, I think."

Tony Pulis: "[on the injury time goal that down Palace] The disappointing this is, if you look at the video, we thought we should have had a free-kick outside their box with a minute to go - well, there was 20 seconds to go - and then they come down and they score, which is over time. In the first half, he [referee Lee Probert] played, I think, a minute and 40 seconds over time and the second half, I think it's 3.40 when they score the goal. The fourth official said it was time when [Mike] Williamson actually handballed it - if he handballed it - so from them going down the bottom, I think it was 40 seconds."

Chris Hughton: "I thought we were excellent. We wanted a reaction [after losing 4-2 to Southampton last week] and we didn't shy away from the fact we knew it was a big game. We knew it was big and I thought we excellent from start to finish. It has been a good day for us. More important than those results it has been a good day for us here. Ultimately, the results from now until the end of the season will determined where we are and we have to make sure our results our good enough. It is important to have a big a gap from where we are to the bottom three as possible. Last weekend we lost and other results didn't go our way, today they did."

Gus Poyet: " I try to do my best but I'm not worried. If we keep looking at the rest and that results went good for us today, we forget about ourselves. You need to make sure you do your bit because that is what you are getting paid for… "I think it is very disappointing when you start a game with the importance of today the way we did. We started badly and we weren't getting close to any of the action. I think it was a mix of being bad on the day and Norwich being very brave."

Jose Mourinho: "We came to kill, and in 10 minutes we destroyed. Ten amazing minutes, no doubt this game was our game. After that, easy. Penalty, red card, 3-0. Easy. But my analysis of the game is about the 10 minutes. The penalty was a penalty and the red card was a red card. It's the kind of mistake that no referee wants to make."

Arsene Wenger: "Of course it's one of the worst days [in my career]. It's over after 20 minutes and it's a long game after that. You don't prepare all week to experience that kind of experience. This defeat is my fault, I take full responsibility for it. I don't think there's too much need to talk about the mistakes we made. We got a good hiding today."